106160947200 has 1728 divisors, whose sum is σ = 505815906960. Its totient is φ = 20761804800.

The previous prime is 106160947199. The next prime is 106160947247. The reversal of 106160947200 is 2749061601.

106160947200 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 609 + 47 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×106160947200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6244761592 + ... + 6244761608.

Almost surely, 2^106160947200 is an apocalyptic number.

106160947200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106160947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252907953480).

106160947200 is an abundant number, since it is smaller than the sum of its proper divisors (399654959760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106160947200 is a wasteful number, since it uses less digits than its factorization.

106160947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 1061609 and 47200, that added together give a square (1108809 = 1053²).

The spelling of 106160947200 in words is "one hundred six billion, one hundred sixty million, nine hundred forty-seven thousand, two hundred".